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Finding the Third Proportional to 1,766,107 and 3,931,922

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Solution

The third proportional to 1,766,107 and 3,931,922 is: 8,753,722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,107 : 3,931,922 = 3,931,922 : x
  2. Step 2: Convert to fraction form
    1,766,107/3,931,922 = 3,931,922/x
  3. Step 3: Cross multiply
    1,766,107x = 3,931,922 × 3,931,922
  4. Step 4: Simplify right side
    1,766,107x = 15,460,010,614,084
  5. Step 5: Solve for x
    x = 15,460,010,614,084/1,766,107
  6. Step 6: Final answer
    x = 8,753,722.52

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.